Volume of cone with respect to height

Hello, and welcome to FMH! :)

If we multiply a linear measure of a 3D solid by some number, scaling up or down to a similar solid, then the volume of the new solid will be the cube of that number. Thus, if we multiply the height of a cone by 3, the volume will be 27 times as great.

Does that make sense?
 
Jessica crowe said:
How many times larger is the volume of a cone if the height is multiplied by 3?
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The question is incomplete. You could be asking about a similar cone, in which all dimensions are multiplied by 3, or about one in which the only change being made to to multiply the height by 3, and the base is unchanged. (I would assume that the cone remains, say, a right circular cone as opposed to becoming an oblique elliptical cone.) MarkFL evidently is reading it the former way, while I tend to read it the latter way, since only the height was mentioned.

If this is a problem that was assigned to you, please state the entire problem word for word. If this is a question of your own, what conditions are you assuming?
 
Yes, I assumed the new cone would be similar to the original. Good catch, Dr. Peterson! :)
 
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